Non reality and non connectivity of complex polynomials

Details Non reality and non connectivity of complex polynomials Non reality and non connectivity of complex polynomials

2002-10-21

arxiv.org/abs/math/0210321v1

C. R. Acad. Sci. Paris (2002, vol. 335, 1039-1042)

Mathematics

Algebraic Geometry

6 pages, to appear in C. R. Acad. Sci. Paris

Scientific paper

Using the same method we provide negative answers to the following questions:
Is it possible to find real equations for complex polynomials in two variables
up to topological equivalence (Lee Rudolph) ? Can two topologically equivalent
polynomials be connected by a continuous family of topologically equivalent
polynomials ?

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